Antonios Hmadi

collaborators

7 papers

math.FA2026

Gaussian polytopes with large Banach-Mazur distance to the cross-polytope

Antonios Hmadi

Let $B_{1}^{n}$ be the standard cross-polytope in $R^{n}$ , let $g_{1}, \dots, g_{m}$ be independent standard Gaussian vectors in $R^{n}$ , and set $G_m=\operatorname{conv}{\pm g_…

math.MG2026

Negative moments of the support function and applications to isotropic convex bodies

Antonios Hmadi, Dimitris-Marios Liakopoulos

We study lower tails of support functions of isotropic convex bodies. An endpoint negative moment estimate, combined with a spherical cap argument, gives polynomial deviation estim…

math.CO2026

Online balancing of vectors with small coordinates

Antonios Hmadi

Let $v_{1}, \dots, v_{T} \in B_{2}^{m}$ be fixed in advance and revealed sequentially, and assume that $∥ v_{t} ∥_{\infty} ⩽ d^{- 1/2}$ for some $d ⩾ 1$ and every $1\leqslant t\leqs…

math.MG2026

Moment comparisons, Sudakov inequalities and entropy of centroid bodies

Antonios Hmadi, Dimitris-Marios Liakopoulos

Let $X$ be an isotropic log-concave random vector in $R^{n}$ and let $G$ be standard Gaussian. Starting from the first moment comparison for gauges, we derive corresponding…

math.FA2026

Dimension-free cotype for isotropic log-concave random polytope spaces

Antonios Hmadi

Let $X_{1}, \dots, X_{N}$ be independent random vectors in $R^{n}$ with common isotropic log-concave distribution $μ$ and set $P_{N,n}^μ:=\operatorname{conv}\{\pm X_i:1\leqslant…

math.FA2026

Banach-Mazur distances and basis constants of isotropic log-concave random spaces

Apostolos Giannopoulos, Antonios Hmadi

We study the Banach-Mazur distance between random normed spaces generated by centrally symmetric random polytopes associated with isotropic log-concave measures in $R^{n}$ .…

math.MG2026

On the maximal perimeter of isotropic log-concave probability measures

Silouanos Brazitikos, Apostolos Giannopoulos, Antonios Hmadi +1

We study the maximal perimeter constant of isotropic log-concave probability measures on $R^{n}$ . For a measure $μ$ , this quantity, denoted by $Γ (μ)$ , is defined as the supr…